Prove that loga(1)=0\log_a(1) = 0loga(1)=0 for any valid base aaa.
False; loga(1)\log_a(1)loga(1) is undefined
True; because a0=1a^0 = 1a0=1 for any a≠0a \neq 0a=0
True only when a=10a = 10a=10
False; loga(1)=a\log_a(1) = aloga(1)=a